Question

Find the mean and median of the data 35, 48, 92, 76, 64, 52, 51, 63 and 71. If 51 is replaced by 66, what will be the new median ?

Answer 1

First we need to arrange given data in ascending order

$35,48,51,52,63,64,71,76,92$

Mean $=\frac{\sum x_i}{n}=\frac{552}{9}=61.33$

Median $=\frac{(n+1)}{2}$th term $=\frac{10}{2}=5$ th term i.e., $63$

If we replace $51$ by $66$ new series will become

$35,48,52,63,64,66,71,76,92$

new median is again $5$th term i.e., $64$